Application of Integrals

JEE Advanced · Mathematics · 20 past questions

1. Q1 2026 Paper 2

   Question Stem for Question Nos. 15 and 16…

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2. Q2 2026 Paper 2

   Question Stem for Question Nos. 15 and 16…

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3. Q3 2025 Paper 2

   Let $\mathbb{R}$ denote the set of all real numbers. Then the area of the region…

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4. Q4 2024 Paper 2

   Let…

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5. Q5 2023 Paper 1

   Let $f:[0,1]\to[0,1]$ be the function defined by $f(x)=\dfrac{x^3}{3}-x^2+\dfrac{5}{9}x+\dfrac{17}{36}$.…

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6. Q6 2023 Paper 1

   Let $n \ge 2$ be a natural number and $f:[0,1]\to\mathbb{R}$ be the function defined by…

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7. Q7 2022 Paper 2

   Consider the functions $f,\ g:\mathbb{R}\to\mathbb{R}$ defined by…

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8. Q8 2021 Paper 1

   The area of the region…

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9. Q9 2020 Paper 1

   Let the functions $f:\mathbb{R}\longrightarrow\mathbb{R}$ and $g:\mathbb{R}\longrightarrow\mathbb{R}$ be…

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10. Q10 2019 Paper 1

    The area of the region $\{(x,y): xy \le 8,\ 1 \le y \le x^2\}$ is

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11. Q11 2018 Paper 1

    A farmer $F_1$ has a land in the shape of a triangle with vertices at $P(0,0)$, $Q(1,1)$ and $R(2,0)$. From…

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12. Q12 2017 Paper 2

    If the line $x = \alpha$ divides the area of region…

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13. Q13 2016 Paper 2

    Area of the region $\{(x,y)\in\mathbb{R}^2 : y \ge \sqrt{|x+3|},\ 5y \le x+9 \le 15\}$ is equal to

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14. Q14 2014 Paper 1

    For a point $P$ in the plane, let $d_1(P)$ and $d_2(P)$ be the distances of the point $P$ from the lines…

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15. Q15 2013 Paper 1

    The area enclosed by the curves $y = \sin x + \cos x$ and $y = |\cos x - \sin x|$ over the interval…

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16. Q16 2011 Paper 1

    Let the straight line $x=b$ divide the area enclosed by $y=(1-x)^2$, $y=0$, and $x=0$ into two parts $R_1$…

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17. Q17 2010 Paper 2

    Paragraph for questions 31 to 33.…

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18. Q18 2009 Paper 1

    Area of the region bounded by the curve $y=e^x$ and lines $x=0$ and $y=e$ is

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19. Q19 2008 Paper 1

    Paragraph for Question Nos. 18 to 20…

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20. Q20 2008 Paper 2

    The area of the region between the curves $y=\sqrt{\frac{1+\sin x}{\cos x}}$ and…

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